Hi Abesh,

You have a high chance to get your choice.

Since last year the opening and closing rank for Mechanical engineering were:

 686 and 1300

May be you will not get ME in first round but in the second or third round you will get ME stream sure.

Jadavpur university is very populer and very good university in West Bengal.

The quality of eductaion is very good and also placement is awesome in Jadavpur University kolkata.

Here are the cut-off of some top branches of JU :

Computer Science & Engineering:  108-609

Information Technology: 914-1176

Electrical Engineering: 545-1003

Electronics and Telecommunication Engineering: 257-778

Civil Engineering: 1275-2480

Good LucK!